Search a number
-
+
22212112133130 = 23531113239884363
BaseRepresentation
bin1010000110011101010010…
…00011011010110000001010
32220122110100021201011012120
411003032221003122300022
510402410401201230010
6115124034202152110
74451525562635313
oct503165103326012
986573307634176
1022212112133130
1170941162599a7
1225a8a334b2636
13c5179330004a
1456b10167960a
15287bc4807e70
hex1433a90dac0a

22212112133130 has 128 divisors (see below), whose sum is σ = 55748042588160. Its totient is φ = 5657652833280.

The previous prime is 22212112133059. The next prime is 22212112133203. The reversal of 22212112133130 is 3133121121222.

It is a self number, because there is not a number n which added to its sum of digits gives 22212112133130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24674329 + ... + 25558691.

It is an arithmetic number, because the mean of its divisors is an integer number (435531582720).

Almost surely, 222212112133130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22212112133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27874021294080).

22212112133130 is an abundant number, since it is smaller than the sum of its proper divisors (33535930455030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22212112133130 is a wasteful number, since it uses less digits than its factorization.

22212112133130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884756.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 22212112133130 its reverse (3133121121222), we get a palindrome (25345233254352).

The spelling of 22212112133130 in words is "twenty-two trillion, two hundred twelve billion, one hundred twelve million, one hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 113 155 186 226 239 310 339 465 478 565 678 717 930 1130 1195 1434 1695 2390 3390 3503 3585 7006 7170 7409 10509 14818 17515 21018 22227 27007 35030 37045 44454 52545 54014 74090 81021 105090 111135 135035 162042 222270 270070 405105 810210 837217 884363 1674434 1768726 2511651 2653089 4186085 4421815 5023302 5306178 8372170 8843630 12558255 13265445 25116510 26530890 27415253 54830506 82245759 99933019 137076265 164491518 199866038 211362757 274152530 299799057 411228795 422725514 499665095 599598114 634088271 822457590 999330190 1056813785 1268176542 1498995285 2113627570 2997990570 3097923589 3170441355 6195847178 6340882710 6552245467 9293770767 13104490934 15489617945 18587541534 19656736401 23883991541 30979235890 32761227335 39313472802 46468853835 47767983082 65522454670 71651974623 92937707670 98283682005 119419957705 143303949246 196567364010 238839915410 358259873115 716519746230 740403737771 1480807475542 2221211213313 3702018688855 4442422426626 7404037377710 11106056066565 22212112133130